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Finding the Third Proportional to 3,043.41 and 4,063.92

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Solution

The third proportional to 3,043.41 and 4,063.92 is: 5,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.41 : 4,063.92 = 4,063.92 : x
  2. Step 2: Convert to fraction form
    3,043.41/4,063.92 = 4,063.92/x
  3. Step 3: Cross multiply
    3,043.41x = 4,063.92 × 4,063.92
  4. Step 4: Simplify right side
    3,043.41x = 16,515,461.01
  5. Step 5: Solve for x
    x = 16,515,461.01/3,043.41
  6. Step 6: Final answer
    x = 5,426.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.